Institute of Mathematics, University of Tsukuba, Tsukuba 305-8571,
Japan
e-mail: sakaiktr@sakura.cc.tsukuba.ac.jp
Abstract. In this paper, we describe the proper
1991 Mathematics Subject Classification. 54C56, 55P55.
Key words and phrases. U-continuous, properly (U,n)-homotopic, proper n-shape.
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